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Finding the Third Proportional to 214,878 and 455,368

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Solution

The third proportional to 214,878 and 455,368 is: 965,012.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,878 : 455,368 = 455,368 : x
  2. Step 2: Convert to fraction form
    214,878/455,368 = 455,368/x
  3. Step 3: Cross multiply
    214,878x = 455,368 × 455,368
  4. Step 4: Simplify right side
    214,878x = 207,360,015,424
  5. Step 5: Solve for x
    x = 207,360,015,424/214,878
  6. Step 6: Final answer
    x = 965,012.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.